Finding the Third Proportional to 9,237 and 17,623.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,237 : 17,623.50 = 17,623.50 : x
2. Step 2: Convert to fraction form
   9,237/17,623.50 = 17,623.50/x
3. Step 3: Cross multiply
   9,237x = 17,623.50 × 17,623.50
4. Step 4: Simplify right side
   9,237x = 310,587,752.25
5. Step 5: Solve for x
   x = 310,587,752.25/9,237
6. Step 6: Final answer
   x = 33,624.31